Y: = 1.0+0.5y; –i+e, €z ~ iidN(0,1) Yt = Yt– 1+€4» e, ~ iidN(0.5,1)

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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The AR model is a representative stable time series model and the random walk model is a representative unstable time series model. When the AR model and the arbitrary walking model are given as follows, the mean and variance are calculated and (approximately) stabilized time series model or unstable time series model is used by means and variances.
Explain why 

Y: = 1.0+0.5y; –i+e,
€z ~ iidN(0,1)
Yt = Yt– 1+€4»
e, ~ iidN(0.5,1)
Transcribed Image Text:Y: = 1.0+0.5y; –i+e, €z ~ iidN(0,1) Yt = Yt– 1+€4» e, ~ iidN(0.5,1)
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Autoregressive model is a representation of a type of random process as such it is used to describe certain time varying processes in nature. The autoregressive model specifies that the output variable depends linearly on its own previous values and on a stochastic term.

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